10564134315440 has 40 divisors (see below), whose sum is σ = 24561879635520. Its totient is φ = 4225607730176.

The previous prime is 10564134315437. The next prime is 10564134315461. The reversal of 10564134315440 is 4451343146501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10564134315440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7221752 + ... + 8560488.

It is an arithmetic number, because the mean of its divisors is an integer number (614046990888).

Almost surely, 2^{10564134315440} is an apocalyptic number.

10564134315440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10564134315440 is an abundant number, since it is smaller than the sum of its proper divisors (13997745320080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10564134315440 is a wasteful number, since it uses less digits than its factorization.

10564134315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437389 (or 1437383 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 10564134315440 in words is "ten trillion, five hundred sixty-four billion, one hundred thirty-four million, three hundred fifteen thousand, four hundred forty".